Question

Factorise (x+y)^2-12(x+y)z+36z^2.

Answer 1

Answer:

${(x + y)}^{2} - 6(x + y)z - 6(x + y)z + 6z \times 6z \\ = (x + y) \times ((x + y) - 6z) - 6z \times ((x + y) - 6z) \\ = ((x + y) - 6z) \times ((x + y) - 6z) \\ = {((x + y) - 6z)}^{2}$.